Discussion
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- Question
- The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.
Options- A. 6 cm and 10 cm
- B. 8 cm and 9 cm
- C. 10 cm and 8 cm
- D. 14 cm and 6 cm
- Correct Answer
- 6 cm and 10 cm
ExplanationLet the third side be x.
According to the question,
x + 20 = 26
? x = 26 - 20 = 6 cm
? Each equal side = 20/2 = 10 cm - 1. Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is?
Options- A. 200
- B. 300
- C. 400
- D. 500 Discuss
- 2. Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is
Options- A. 54°
- B. 40°
- C. 36°
- D. 18° Discuss
- 3. If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus?
Options- A. 5 cm
- B. 10 cm
- C. 12 cm
- D. 20 cm Discuss
- 4. Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is
Options- A. 0.75 m2
- B. 1.5 m2
- C. 1.5 m2
- D. 0.375 m2 Discuss
- 5. A cost of cultivating a square field at a rate of ? 135 per hectare is ? 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe
Options- A. ? 360
- B. ? 810
- C. ? 900
- D. ? 1800 Discuss
- 6. The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.
Options- A. 300 sq m
- B. 250 sq m
- C. 240 sq m
- D. 185 sq m Discuss
- 7. The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle?
Options- A. 30 cm
- B. 25 cm
- C. 35 cm
- D. 40 cm Discuss
- 8. The perimeter of a rectangle having area equal to 144 cm 2 and sides in the ratio 4 : 9 is
Options- A. 52 cm
- B. 56 cm
- C. 60 cm
- D. 64 cm Discuss
- 9. Area of rectangular field is 3584 m 2 and the length and the breadth are in the ratio 7 : 2, respectively. What is the perimeter of the rectangle?
Options- A. 246 m
- B. 292 m
- C. 286 m
- D. 288 m Discuss
- 10. The length and perimeter of a rectangle are the ratio of 5 : 18 What well be the ratio of its length and breadth?
Options- A. 4 : 3
- B. 3 : 5
- C. 5 : 4
- D. 4 : 7 Discuss
Area problems
Search Results
Correct Answer: 400
Explanation:
Area of square room = (10)2 = 100 sq m
= 100 x (100)2 sq cm
= 100 x 100 x 100 sq cm
Now, area of tiles = (50)2 = 50 x 50 sq cm
? Number of tiles needed = (Area of square room) / (Area of tile)
= (100 x 100 x 100) / (50 x 50)
= 400
Hence, 400 tiles will be needed.
Correct Answer: 54°
Explanation:
Let First angle = 3k
Second angle = 4k
Third angle = 5k and
Fourth angle = 8k
We know 3k + 4k + 5k + 8k = 360°
? 20k = 360°
? k = 18 °
Measure of smallest angle = 3k
=3 x 18 °
= 54 °
Correct Answer: 10 cm
Explanation:
Perimeter of rhombus
= 2 ? d1 2 + d2 2
= 2 ?(4.8)2 + (1.4)2
= 2 ?23.04 + 1.96
= 2 ?25
= 2 x 5 = 10 cm
Correct Answer: 0.75 m2
Explanation:
Area of rhombus =(d1 x d2)/2
=(1 x 1.5)/2 m2
= 0.75 m2
Correct Answer: ? 900
Explanation:
Area of the field =1215/135 = 9 hec
= 90000 m2 [1 hec =10000 m2]
? Side of the field = ?90000 = 300 m
Perimeter of the field = 4 x 300 = 1200 m
Now, cost of putting a fence around field = (1200 x 75)/100 = ? 900
Correct Answer: 240 sq m
Explanation:
Let length of rectangle = 5k
and breadth of rectangle = 3k
According to the quecation,
5k - 3k = 8
? 2k =8
? k = 4
? Lenght = 5k = 5 x 4 = 20 m
Breadth = 3k = 3 x 4 = 12 m
? Required area = Lenght x Breadth
= 20 x 12 = 240 sq m
Correct Answer: 30 cm
Explanation:
Let length = 2x and breadth = x
According to the question,
2x - x = 5
? x = 5
? Required perimeter = 2(2x + x)
= 6x
= 30 cm
Correct Answer: 52 cm
Explanation:
Let l = 4k and b = 9k
Area of rectangle = l x b
144 = 4k x 9k
? k2 = 144/36
? k2 = 4
? k = 2
? l = 8 cm and b = 18 cm
Perimeter of rectangle = 2(l + b)
= 2(8 + 18)
= 2 x 26
= 52 cm
Correct Answer: 288 m
Explanation:
Let length of the rectangular field = 7k m
and breadth of the rectangular field = 2k m
According to the question,
Area of a rectangular field = Length x Breadth
? 3584 = 7k x 2k
? 14 x k2 = 3584
? k2 = 3584/14 = 256
? k2 = 256 = 16 m
? Length of rectangular field = 7k = 7 x 16 = 112 m
And breadth of rectangular field = 2 x 16 = 32 m
? Perimeter of rectangle = 2(Length x Breadth)
= 2(112 + 32)
= 2 x 144
= 288 m
Correct Answer: 5 : 4
Explanation:
According to the question,
l/[2(l + b)] = 5/18
? 10l + 10b = 18l = 10b
? l/b = 10/8 = 5/4
? l : b = 5 : 4
Hence, ratio of length and breadth of a rectangle is 5 : 4
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